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The great number of varied approaches to hydrodynamic stability theory appear as a bulk of results whose classification and discussion are well-known in the literature. Several books deal with one aspect of this theory alone (e.g. the linear case, the influence of temperature and magnetic field, large classes of globally stable fluid motions etc.). The aim of this book is to provide a complete mathe­ matical treatment of hydrodynamic stability theory by combining the early results of engineers and applied mathematicians with the recent achievements of pure mathematicians. In order to ensure a more operational frame to this theory I have briefly outlined the main results concerning the stability of the simplest types of flow. I have attempted several definitions of the stability of fluid flows with due consideration of the connections between them. On the other hand, as the large number of initial and boundary value problems in hydrodynamic stability theory requires appropriate treat­ ments, most of this book is devoted to the main concepts and methods used in hydrodynamic stability theory. Open problems are expressed in both mathematical and physical terms.

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Recensione:
`All in all, this book is a useful addition to the literature.'
I.H. Herron, Mathematical Reviews.
Contenuti:
1. Classical hydrodynamic stability.- 2. Generalized solutions in hydrodynamic stability.- 3. Branching and stability of the solutions of the Navier-Stokes equations.- 4. Nature of turbulence.- 5. The influence of the presence of a porous medium on hydrodynamic stability.- Appendices 1. Operators in Hilbert spaces.- 2. Semigroups of operators in Banach spaces.- 3. Spectral theory of linear operators.- 4. Calculus of variations.- 5. Geometric methods in branching theory.- 6. New methods for solving the Orr-Sommerfeld equation.- 7. Analytical methods to solve some eigenvalue problems in hydrodynamic and hydromagnetic stability theory.- 8. Stability of nonstationary fluid flows.- Afterword.

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  • EditoreSpringer
  • Data di pubblicazione2013
  • ISBN 10 9048182891
  • ISBN 13 9789048182893
  • RilegaturaCopertina flessibile
  • Numero di pagine312

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9789024731206: Hydrodynamic Stability Theory: 9

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ISBN 10:  9024731208 ISBN 13:  9789024731206
Casa editrice: Kluwer Academic Print on Demand, 1986
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Descrizione libro Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The great number of varied approaches to hydrodynamic stability theory appear as a bulk of results whose classification and discussion are well-known in the literature. Several books deal with one aspect of this theory alone (e.g. the linear case, the influ. Codice articolo 5822115

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Descrizione libro Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - The great number of varied approaches to hydrodynamic stability theory appear as a bulk of results whose classification and discussion are well-known in the literature. Several books deal with one aspect of this theory alone (e.g. the linear case, the influence of temperature and magnetic field, large classes of globally stable fluid motions etc.). The aim of this book is to provide a complete mathe matical treatment of hydrodynamic stability theory by combining the early results of engineers and applied mathematicians with the recent achievements of pure mathematicians. In order to ensure a more operational frame to this theory I have briefly outlined the main results concerning the stability of the simplest types of flow. I have attempted several definitions of the stability of fluid flows with due consideration of the connections between them. On the other hand, as the large number of initial and boundary value problems in hydrodynamic stability theory requires appropriate treat ments, most of this book is devoted to the main concepts and methods used in hydrodynamic stability theory. Open problems are expressed in both mathematical and physical terms. Codice articolo 9789048182893

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Descrizione libro Condizione: New. Series: Mechanics: Analysis. Num Pages: 307 pages, biography. BIC Classification: PBK. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 16. Weight in Grams: 480. . 2010. Softcover reprint of the original 2nd ed. 1985. Paperback. . . . . Codice articolo V9789048182893

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Descrizione libro Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The great number of varied approaches to hydrodynamic stability theory appear as a bulk of results whose classification and discussion are well-known in the literature. Several books deal with one aspect of this theory alone (e.g. the linear case, the influence of temperature and magnetic field, large classes of globally stable fluid motions etc.). The aim of this book is to provide a complete mathe matical treatment of hydrodynamic stability theory by combining the early results of engineers and applied mathematicians with the recent achievements of pure mathematicians. In order to ensure a more operational frame to this theory I have briefly outlined the main results concerning the stability of the simplest types of flow. I have attempted several definitions of the stability of fluid flows with due consideration of the connections between them. On the other hand, as the large number of initial and boundary value problems in hydrodynamic stability theory requires appropriate treat ments, most of this book is devoted to the main concepts and methods used in hydrodynamic stability theory. Open problems are expressed in both mathematical and physical terms. 312 pp. Englisch. Codice articolo 9789048182893

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Descrizione libro Condizione: New. Series: Mechanics: Analysis. Num Pages: 307 pages, biography. BIC Classification: PBK. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 16. Weight in Grams: 480. . 2010. Softcover reprint of the original 2nd ed. 1985. Paperback. . . . . Books ship from the US and Ireland. Codice articolo V9789048182893

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